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In this paper we suggest a distribution‐free state space model to be used with the Kalman filter in run‐off triangles. It works with original incremental amounts and relates the triangle with a column of observed values, which can be chosen in order to describe better the risk volume in each...
Econometric duration analysis has become an important part of methodology in econometrics, bringing forth a plenty of applications. The probability distribution of the duration of a time span is modelled through its conditional hazard rate given the covariates. When some of the covariates are...
A number of conventional measures of risk as real‐valued functions on the space of positive random variables are considered: the expected shortfall, the mean excess over the threshold, the stop‐loss and some others. Ordering of risks, based on these measures and the distances between...
This investigation extends the constant elasticity of substitution (CES) batch process production model of Lin et al. (J. Management syst. 2002; 9: 173) for an uncertain exchange rate by considering an export‐oriented manufacturer who can decide to switch freely between domestic and foreign...
We present a general risk model where the aggregate claims, as well as the premium function, evolve by jumps. This is achieved by incorporating a Lévy process into the model. This seeks to account for the discrete nature of claims and asset prices. We give several explicit examples of Lévy...
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